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Finding the Fourth Proportional to 65,117.32, 89,870.16 and 36,438.60

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Solution

The fourth proportional to 65,117.32, 89,870.16 and 36,438.60 is: 50,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,117.32 : 89,870.16 = 36,438.60 : x
  2. Step 2: Convert to fraction form
    65,117.32/89,870.16 = 36,438.60/x
  3. Step 3: Cross multiply
    65,117.32x = 89,870.16 × 36,438.60
  4. Step 4: Simplify right side
    65,117.32x = 3,274,742,812.18
  5. Step 5: Solve for x
    x = 3,274,742,812.18/65,117.32
  6. Step 6: Final answer
    x = 50,289.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.